Question

Ankit and Basant are partners in a firm sharing profit and losses in the ratio of 3:2 Govind is admitted in the firm for 1/5th share in profit . Govind gets it from Ankit and Basant in the ratio of 2:3. Calculate the new profit and loss sharing ratio of the partners​

Answer 1

Answer:

see below

Explanation:

Old ratio (A and B) = 3 : 2

C is admitted for 1/4 share  

Let the combined share of A, B and C = 1

Combined share of A and B after C's admission = 1 - C's share

                                                                                = 1 - (1/4) = 3/4

New share :

A = (3/4) * (1/2) = 3/8

B = (3/4) * (1/2) = 3/8

C = 1/4  

Therefore, A : B : C = 3/8 : 3/8 : 1/4

                                = 3 : 3 : 2

Sacrificing ratio = Old ratio - New ratio

A's sacrifice = (3/5) - (3/8) = 9/24

B's sacrifice = (2/5) - (3/8) = 1/24

Therefore, sacrificing ratio of A and b is 9 : 1